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What transformation follows a rotation of 90° about the origin?

a) Reflection across y = 0
b) Reflection across x = 0
c) Reflection across y = x
d) Reflection across y = -x

User Mathieug
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1 Answer

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A 90° rotation about the origin is followed by a reflection across the line y = -x, transforming a point (x, y) to (-y, x).

The question asks what transformation follows a rotation of 90° about the origin. To understand this transformation, consider the effect of the rotation on the coordinates of any point. After a 90° rotation about the origin, a point (x, y) is transformed to the point (-y, x). This transformation is equivalent to reflecting the point over the line y = -x. Therefore, this rotation is followed by a reflection across the line y = -x.

User Radagast
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